Presents LCNU-plus-embedding data loading for any polynomial Carleman-linearized autonomous system and applies it to the 3D LBE, yielding Ns ~ O(α²Q²) terms and explicit T-gate resource estimates for two solvers.
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PODR precomputes a proper orthogonal decomposition basis from classical solutions to project quantum states onto a minimal set of coefficients for reconstruction, reducing measurements in online quantum simulations.
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Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation
Presents LCNU-plus-embedding data loading for any polynomial Carleman-linearized autonomous system and applies it to the 3D LBE, yielding Ns ~ O(α²Q²) terms and explicit T-gate resource estimates for two solvers.
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Problem-Specific Basis Quantum State Readout via Proper Orthogonal Decomposition
PODR precomputes a proper orthogonal decomposition basis from classical solutions to project quantum states onto a minimal set of coefficients for reconstruction, reducing measurements in online quantum simulations.